7.6+48k=4k+4(8.5k-0.6)

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Solution for 7.6+48k=4k+4(8.5k-0.6) equation:


Simplifying
7.6 + 48k = 4k + 4(8.5k + -0.6)

Reorder the terms:
7.6 + 48k = 4k + 4(-0.6 + 8.5k)
7.6 + 48k = 4k + (-0.6 * 4 + 8.5k * 4)
7.6 + 48k = 4k + (-2.4 + 34k)

Reorder the terms:
7.6 + 48k = -2.4 + 4k + 34k

Combine like terms: 4k + 34k = 38k
7.6 + 48k = -2.4 + 38k

Solving
7.6 + 48k = -2.4 + 38k

Solving for variable 'k'.

Move all terms containing k to the left, all other terms to the right.

Add '-38k' to each side of the equation.
7.6 + 48k + -38k = -2.4 + 38k + -38k

Combine like terms: 48k + -38k = 10k
7.6 + 10k = -2.4 + 38k + -38k

Combine like terms: 38k + -38k = 0
7.6 + 10k = -2.4 + 0
7.6 + 10k = -2.4

Add '-7.6' to each side of the equation.
7.6 + -7.6 + 10k = -2.4 + -7.6

Combine like terms: 7.6 + -7.6 = 0.0
0.0 + 10k = -2.4 + -7.6
10k = -2.4 + -7.6

Combine like terms: -2.4 + -7.6 = -10
10k = -10

Divide each side by '10'.
k = -1

Simplifying
k = -1

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